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Probabilistic role models and the guarded fragment. (English) Zbl 1093.68106

Summary: We propose a uniform semantic framework for interpreting probabilistic concept subsumption and probabilistic role quantification through statistical sampling distributions. This general semantic principle serves as the foundation for the development of a probabilistic version of the guarded fragment of first-order logic. A characterization of equivalence in that logic in terms of bisimulations is given.

MSC:

68T27 Logic in artificial intelligence
68T37 Reasoning under uncertainty in the context of artificial intelligence
03B48 Probability and inductive logic
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